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2112504 = 233234389
BaseRepresentation
bin1000000011101111111000
310222022210220
420003233320
51020100004
6113140040
723645622
oct10035770
93868726
102112504
111213179
1285a620
1358c704
143cdc12
152badd9
hex203bf8

2112504 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 650496.

The previous prime is 2112499. The next prime is 2112511. The reversal of 2112504 is 4052112.

2112504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23692 + ... + 23780.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

22112504 is an apocalyptic number.

2112504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2112504 is an abundant number, since it is smaller than the sum of its proper divisors (3589896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112504 is a wasteful number, since it uses less digits than its factorization.

2112504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2112504 is about 1453.4455614160. The cubic root of 2112504 is about 128.3115781792.

Adding to 2112504 its reverse (4052112), we get a palindrome (6164616).

The spelling of 2112504 in words is "two million, one hundred twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 89 92 129 138 172 178 184 258 267 276 344 356 516 534 552 712 989 1032 1068 1978 2047 2136 2967 3827 3956 4094 5934 6141 7654 7912 8188 11481 11868 12282 15308 16376 22962 23736 24564 30616 45924 49128 88021 91848 176042 264063 352084 528126 704168 1056252 2112504